• Medientyp: Sonstige Veröffentlichung; E-Artikel
  • Titel: Continuum percolation for Cox point processes
  • Beteiligte: Cali, Elie [Verfasser:in]; Hirsch, Christian [Verfasser:in]; Jahnel, Benedikt [Verfasser:in]
  • Erschienen: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2019
  • Sprache: Englisch
  • DOI: https://doi.org/10.1016/j.spa.2018.11.002
  • ISSN: 0304-4149
  • Schlagwörter: article ; Cox processes -- percolation -- stabilization -- large deviations
  • Entstehung:
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  • Beschreibung: We investigate continuum percolation for Cox point processes, that is, Poisson point processes driven by random intensity measures. First, we derive sufficient conditions for the existence of non-trivial sub- and super-critical percolation regimes based on the notion of stabilization. Second, we give asymptotic expressions for the percolation probability in large-radius, high-density and coupled regimes. In some regimes, we find universality, whereas in others, a sensitive dependence on the underlying random intensity measure survives.